__Important Profit And Loss Problems Short Tricks for IBPS PO/Clerk Exams:__

__Important Profit And Loss Problems Short Tricks for IBPS PO/Clerk Exams:__

**Basic Concept of Profit and Loss Problems:**

- Cost Price (CP) –> Price at which an article is Purchase
- Marked Price (MP) –> Price written on the article/MRP
- Selling Price (SP) –> Price at which an article is sold
- Profit –> SP> CPÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Profit = SP â€“ CP
- Loss –> CP> SPÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Loss = CP â€“ SP
- Profit% or Gain % –> Profit /CP Ã—100% = SP â€“ CP / CP Ã—100%
- Loss% –> Loss/CP Ã—100% = CP â€“ SP / CPÃ—100%

**Rule of Fraction in Profit and Loss Problems:**

**Profit and Loss Problems Example:**

__Type 1:__**Proof:**Let cost price of two articles is Rs.a and Rs.b respectively.

**Profit and Loss Problems Example:**

**1) A man purchased two articles for a total cost of Rs.9000. He sold the first article at 15% profit and the second at 12% loss. In the bargain, he neither gained nor lost anything. Find the cost price of the first article.**

**Solution:**

__Type 2:__**Profit and Loss Problems Example:**

**1) On selling an article for Rs.550, a man gains 10%. What should be the selling price, if desired profit is 20%?**

**Solution:**

**2) Ram sold a cow for Rs.136 and thus lost 15%. At what price he should have sold it to gain 15%?**

**Solution:**

__Â__

__Type 3:__**1) Shopkeeper buys 25 tables and 10 chairs for Rs. 7000 sells, table at 10%, chair at 12% profit. If he gets 7740 find CP of table and chair?**

**Solution:**

__Type 4:__^{2}/100

**Profit and Loss Problems Example:**

**1) A shopkeeper mark price of his article 12% above the cost Price and then allows a 12% discount on the marked price. What is his loss percent?**

**Solution:**

^{2}/100 = 1.44%

__Type 5:__**Â will be always loss**, and Loss% = x

^{2}/100 or (Common gain and loss)

^{2}/100

**Profit and Loss Problems Example:**

**1) A TV manufacturer sells two televisions at Rs.9900 each. He earned a profit of 10% on the first one and suffered a 10% loss on another. His net profit or loss percent is?**

**Solution:**

^{2}/100

^{2}/100 = 1%

__Type 6:__**Profit and Loss Problems Example:**

**1) A man sold two articles for Rs.600 each. On selling first, he gains 20%, and on the other, he gains 30%. What is the profit percent in the transaction?**

**Solution:**

__Type 7:__**1) A shopkeeper buys 2 chairs at a total cost of 900/-. By selling one at 4/5 of its cost and the other at 5/4 of its cost he made a profit of 90/-. Find CP of each chair**

**Solution:**

^{st}chair =Â Rs.Â 300, 2

^{nd}chair =Â Rs.Â 600/-

__Type 8:__**1) A man purchases 11 orange for Rs.10/- and sell them at the rate of 10 oranges for Rs.11/. Find profit?**

**Solution:**

__Type 9:__**1) Selling price of two articles 4000/- each. First article sold at a profit of 25% profit and 2**

^{nd}article at some % loss. Find loss % on 2^{nd}article if there is neither loss nor gain.**Solution:**

__Type 10:__**1) How much % more than CP must a shopkeeper mark his goods to gain 26% after giving a discount of 10%**

**Solution:**

**More Useful Shortcuts on Profit and Loss:**

1). The cost price of 20 articles is equal to the selling price of 18 articles, then profit %

**PROFIT = DIFFERENCE /SP *100** =2/18*100 =100/9 =11 Â Â 1/9%

2). Nick sold a machine to Sonia at a profit of 30% and Sonia sold it to Varun at 20%loss. If nick get the machine for 5000 then what is the cost price of the machine at Varun?

PERCENTAGE EFFICIENCY = (+30-20 *(+30*-20 /100) =4%

5000 -100 Â ; 104- 5200

Cp of varun =5200

3). If a shopkeeper sells goods 6%loss on cost price but gives 14 g instead of 16g. What is his percentage of profit or loss?

A=6% Â , c=16g b=14g

**FORMULA = [(100-A) (C/B)-100] %**

= 94 *(16/14) -100 % =52/7% gain

4). A dealer sold at 20% loss on cost price but uses 40% less weight. What is his percentage of profit or loss?

**FORMULA =B****Â±A / (100-B)Â **

=Â Â Â 40 -20 / (100 -40)

= Â Â Â 20/60=2/6*100%

=Â Â Â Â 33 1/3 %Â profit

5). If 2/3 of the article Â sold at 30% profit 1/4 of part at 16%, profit and remaining part of 12% Profit Â finally, there is a profit of rs.75, then the cost price of the article

A=2/3 ,x=30%, b=1/4, y =16% , z =12%,R=75

C= 1-(1/2+3/4) =1/12

**COST PRICE OF ARTICLE =R*100 / (AX +BY+CZ) **

= (75*100) / ((2/3*30)(1/4*16) (1/12*12)

=7500/25 =300

6). A bought a certain quantity of oranges at a total cost of 1200. He sold 1/3 of those oranges at a 20% loss. If A earns an overall profit of 10%, At what percentage of profit did A sell the rest of the oranges?

Sol:-

1/3 of oranges sold, Remaining we have 2/3 of oranges. So,

1/3:2/3=>1:2. Final ratio is 1:2

He sold 1/3 of those oranges at 20% loss and overall profit of 10%, so we using mixture allegation method,

X-110/30=1/2

We solve these, we get X=125

So A sell the rest of the oranges at **25% profit.**

7). If a shopkeeper sells an item for 1410, his loss is 6%. To earn a profit of 15% he should sell it for?

Sol:

**(100-loss)/sp1=(100+gain)/sp2**

=>94/1410=115/x

=>94x=115*1410

=>**x=1725**

8). By selling 25% of a quantity of sugar a person earns 40% profit, While on the remaining quantity he incurs a loss of 20%. Find the overall profit/loss percentage.

Sol:

Profit/loss%= (25/100)*40% +(75/100)*(-20%)

=>(1/4) *40% +(3/4)*(-20%)

=>10%+(-15%)

=> (-5%)

So, 5% loss. (â€˜-â€˜ symbol denotes a loss)

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